What is the amount of M

What Is The Amount Of M

Answers

Answer 1

The value of ∠M is, 30

What are angles?

When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.

acc to our question-

∠m + ∠30=60∠m= 60-30=30

Hence,The value of ∠M is, 30

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Related Questions

what is 10x - 5 = 105

Answers

Answer:

x =11

Step-by-step explanation:

report this so that girl in the comments can give you an answer

Answer: -50

Step-by-step explanation:

a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?

Answers

The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

What is scatterplot?

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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write a congruence statement for the pair of triangles

Answers

The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.If two triangles satisfy one of the following conditions, they are congruent: The three corresponding side pairings are all equal. The comparable angles between two pairs of corresponding sides are equal. The corresponding sides between two pairs of corresponding angles are equal.

So, the congruence statement of the given 2 triangles is as follows:

△RGB ≅ △DCS

∠G = ∠CGB = CS∠B = ∠S

Hence, △RGB ≅ △DCS  under ASA condition.

Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

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Help needed immediately!!!
By reading the 2 water levels below and subtracting them, work out the volume of the gold nugget in mL
(Show working out)

Answers

Answer:

volume = 3 ml

Step-by-step explanation:

the reading on the left without the nugget is 17 ml

the reading on the right with the nugget is 20 ml

volume of nugget = 20 - 17 = 3 ml

the sum of 12 terms of an arithmetic series is 186 and the 20th term is 83. find the sum of 40 terms of the series.

Answers

The Sum of 40 terms of the Arithmetic Sequence is 3,420..

Arithmetic Series is defined as a sum of the terms of arithmetic progression or sequence.

An Arithmetic progression is a sequence of terms in which the difference between two consecutive terms is a constant number.

We have following information about series

sum of 12 terms of an arithmetic series (S₁₂) = 186

the 20th term of arithmetic sequence = 83

i.e., a₂₀ = 83

As we know that nth term of arithmetic progression is a= a + (n-1)d

where , a---> first term of sequence

n ----> nth term

d -----> constant difference between two consecutive terms

put n= 20 in above formula we get,

83 = a + (20-1 )d = a+ 19d ----(1)

Now , Using the sum of n arithmetic terms formula, S = n/2 ( 2a + (n-1)d)

so, for n = 12

186 = 12/2 ( 2a + 11d ) => 2a + 11d = 31 ---(2)

Solving equations (1) and (2) we get,

27d = 135 => d = 5

putting the value of d in equation (1)

83 = a + 19×5 => a = 83 - 95 = -12

thus sequence is like as -12, -7 , -2 , ------

Sum of first 40 terms of arithmetic sequence (S₄₀) = 40/2 ( 2× (-12) + 39d ) = 20 ( -24 + 39×5)

= 20( 171) = 3,420

So, required result is 3,420..

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24m/s into mph. If your answer is a decimal, give it to 1 d.p

Answers

24 meters per second = 53.6865 miles per hour

53.6865 to 1 d.p = 53.7

Answer: 53.7

What is the slope of the line that contains points (2, 9) and (8, 7)?

Answers

Answer:

-1/3

Step-by-step explanation:

m = y2-y1/x2-x1                     formula for slope

m = 7-9/8-2                          Plug in the numbers

m = -2/6                                Subtract 7-9 and 8-2

m = -1/3                                 Simplify

In the figure, m<7=100 degrees. Find the measure of each angle.
22.) <6
23.) <8
24.) <2
25.) <5
26.) <11

Answers

The corresponding measure of each angle is 80, 80, 80, 100 and 100 degrees

How to determine the measure of each angle?

Given: m<7=100 degrees

To find <6, <8, <2, <5 and <11

In the <7 is vertically opposite <5. Since vertically opposite angles are equal.

Thus, <5 =  <7 =   100 degrees

Also,  <5 and <6 are angles on a straight, and the sum of angles on a straight line is 180 degrees. Thus:

<5 + <6 = 180

100 + <6 = 180

<6 = 180 -100 = 80 degrees

Also, <6  and <8 are vertically opposite.

Thus, <8 = <6 = 80 degrees

<2 and <6 are corresponding angles, and corresponding angles are equal. Thus, <2 = <6 = 80 degrees

Likewise, <11 and <7 are corresponding angles

Thus, <11 = <7 = 100 degrees

Therefore, the measure of angle <6, <8, <2, <5 and <11 are 80, 80, 80, 100 and 100 degrees respectively

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Triangles UVW and VUX are congruent identifier common sides are angles.

Answers

Answer:

Common side: UV

Step-by-step explanation:

720 divided by 50 gives the same answer as x divided by 100
what is the value of X

Answers

Answer:

Value of x is 1440

Step-by-step explanation:

According to the question,

720 ÷ 50 gives same answer as x ÷ 100

[tex] \therefore[/tex]

[tex] \rm \implies \dfrac{720}{50} = \dfrac{x}{100} \\ \\ \rm \implies x = \frac{720}{50} \times 100 \\ \\ \rm \implies x = 720 \times 2 \\ \\ \rm \implies x = 1440[/tex]

A sphere has a diameter of 24 mm.
What is the volume of the sphere?
O 487 mm³
O 1927 mm³
O 23047 mm³
O I don't know.

Answers

The volume of the sphere is 7241.142 m[tex]m^{3}[/tex].

Given:

A sphere has a diameter of 24 mm.

Radius r = diameter/2

= 24/2

r = 12 mm.

volume of sphere = 4/3π[tex]r^{3}[/tex]

= 4/3 * 22/7 * [tex]12^{3}[/tex]

= 88*[tex]12^{3}[/tex]/21

= 88*1728/21

= 152064/21

= 7241.142 m[tex]m^{3}[/tex].

Therefore the volume of the sphere is 7241.142 m[tex]m^{3}[/tex].

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Please help, what is the common side of the triangles ABC and DCB?

Answers

BC is the common side of both the triangles.

Answer:

BC

Step-by-step explanation:

Common side in both triangles is BC

    Sides of ΔABC,

                   AB ;  BC  and AC

   Sides of ΔDCB,

                  DC, BC and DB

Which of the following best describes the ordered pairs listed below? (-2, -1), (1, -4), (5, -8), (9, -12) A. function only B. both a relation and a function C. relation only D. neither a relation nor a function

Answers

Since each input is mapped to only one output, the best description of the ordered pairs is given by:

B. both a relation and a function.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x, y), we have that:

=> x is the input.

=> y is the output.

=> The meaning is that the input x is mapped to the output y.

For this problem, the points are given as follows:

(-2, -1), (1, -4), (5, -8), (9, -12)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

B. both a relation and a function.

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bill, phil, and jenny are siblings. bill is twice as old as phil. jenny is two years younger than bill. currently, their dad is twice as old as the sum of their ages. in nine years, dad's new age will be equal to the sum of his three kids' new ages. what is jenny's current age?

Answers

The current age of Jenny is 6 years.

Let the current age of Phil be = x years

So the current age of Bill is = 2x years

The current age of Jenny is = 2x-2 years

Sum of their ages is = x+2x+2x-2 = 5x-2 years

Now the age of their dad is = 2(5x-2) = 10x-4 years

Now after nine years,

Age of Phil = x+9

Age of Bill = 2x+9

Age of Jenny = 2x-2+9 = 2x+7

Sum of their ages = x+9+2x+9+2x+7 = 5x+25

New age of their father = 10x-4+9 = 10x+5

According to question, the required linear equation to solve the question is,

5x+25 = 10x+5

5x = 20

x = 4

Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years

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square tile measures 12 inches on each side. If 1 inch = 2.54 centimeters, determine the area of the tile in square centimeters. Round the answer to the nearest square centimeter. 30 cm2 144 cm2 366 cm2 929 cm2​

Answers

The area of the tile in square centimeters is 929cm2

The area in square centimeters is calculated as follows

First, let convert the tile measures 12 inches on each side into centimeters

1 inch = 2.54 centimeters

= 12 x 2.54
= 30.48 centimeters

Next is to find the area of the tile in square centimeters
The area of square = (side) x (side) square units
=
30.48 centimeters x 30.48 centimeters

= 929.0304

= 929 square centimeters (rounded)

So, the area of the tile in square centimeters is 929 square centimeters

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Answer:

The area of the tile in square centimeters is 929cm2

Step-by-step explanation:

I took the exam and got it right

Rotate the yellow dot to a location of two pi radians. After you rotate the angle, determine the value of cos 2pi, to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

What is the m (See image)

Answers

From the given figure, m∠AEB = (3x + 54)° and m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.

As given in the question,

For the given figure,

Two lines AC and BD intersect each other at point E.

Measure of angles in the form of x is given as :

m∠AEB = (3x + 54)°

m∠DEC = (7x -30)°

∠AEB and  ∠DEC are vertically opposite angles.

⇒m∠AEB = m∠DEC

⇒ (3x + 54)°= (7x -30)°

⇒ 7x - 3x = ( 54 + 30 )°

⇒ 4x = 84°

⇒ x = 21°

Hence,

m∠AEB = (3x + 54)°

⇒m∠AEB = (3(21) + 54)°

⇒m∠AEB = 117°

Therefore, from the given figure m∠AEB = (3x + 54)° and

m∠DEC = (7x -30)°, then the measure of angle AEB is equal to 117°.

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A dam has a floodgate. When it is open, it lets out 10,000 gallons of water per minute.

How many gallons of water will it let out in 10 minutes?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000

Answers

Answer: C. 100,000 gallons

Step-by-step explanation:

10,000 gallons a minute.

10 minutes.

10,000 x 10 = 100,000.

Gallons:  10,000     20,000     30,000     40,000     50,000     60,000    

Minutes:       1               2               3                4               5                6              

... 70,000     80,000     90,000     100,000

...      7                8                9              10

help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet

The function is given that

h(t) =  + 40t + 7

Where h is the height

t is the time taken

We know

[tex]-16t^2[/tex] + bx + c = 0

Compare the equations

a = -16

b = 40

c = 7

Compare both the equation

Time taken to reach maximum height = - b/2a

= - 40/2(-16)

= - 40/-32

= 5/4

= 1.25 seconds

Time taken to reach maximum height is t = 1.25 seconds

Substitute the value of t in the function to find the maximum height

h(1.25) = -16× + 40(1.25) + 7

= -25 + 50 + 7

= 32 feet

Hence, the time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet

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Write equations of the horizontal and vertical lines that pass through (-3,12).

Answers

Answer:

horizontal line: y = 12

vertical line: x = -3

Step-by-step explanation:

The horizontal line has 12 as the y-coordinate for all its points.

y = 12

The vertical line has -3 as the x-coordinate for all its points.

x = -3

Answer:

x = -3

y = 12

Step-by-step explanation:

For a point (x, y):

The first number represents the point's position on the x-axis.The second number represents the point's position on the y-axis.

A horizontal line is represented by the equation y = a where (0, a) is the y-intercept of the line.

A vertical line is represented by the equation x = a where (a, 0) is the x-intercept of the line.

Therefore, for the given point (-3, 12):

x = -3y = 12

7. If f(x) = -3x² + 2x - 1 and f(x) = -1, solve for x.

Answers

The required values are x=0 and x=2/3.

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

f(x) = -3x² + 2x - 1

Substitute f(x) = -1

-1 = -3x² + 2x - 1

-3x² + 2x - 1+1=0

-3x² + 2x = 0

x( -3x+2)=0

=> x=0,

 -3x+2 = 0

-3x=-2

x=2/3

The required values are x=0 and x=2/3.

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A lines Y intercept is changed from -1 to 0 which way did it shift

Answers

By studying the change of the y-intercept, we can see that the shift is of one unit upwards.

In which way did the line shift?

We know that the original y-intercept of the line is y = -1, then the line is of the form:

y = a*x - 1

Where a is the slope.

Now we apply a vertical shift of N units, this is written as:

y = a*x - 1 + N

And we know that the new y-intercept is 0, so:

y = a*0 - 1 + N = 0

y = -1 + N = 0

-1 + N = 0

N = 1

The shift is of 1 unit up.

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18. Richard measured a house and its lot and made a scale drawing. The scale of the drawing was 1 inch: 2 feet. The backyard is 74 feet long in real life. How long is the yard in the drawing?

Answers

The length of backyard in drawing is 37 inch when 74 feet long in real life and scale of drawing is 1 inch: 2 feet.

What is proportion?

A proportion is a form of ratio in which the denominator also contains the numerator. For example, the fraction of male deaths would be deaths to men divided by deaths to males + deaths to females (i.e. the total population). A population proportion is a percentage of the population that possesses a specific feature. Assume you have 1,000 persons in your population, with 237 of them having blue eyes. Blue eyes account for 237 of every 1,000 persons, or 237/1000.

Here,

as the given scale is 1 inch: 2 feet.

actual length of backyard=74 feet

length of backyard in drawing is x inch,

1/2=x/74

2x=74

x=37 inch

The length of the backyard in the drawing is 37 inches, although it is 74 feet long in real life, and the scale of the drawing is 1 inch: 2 feet.

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1. what would the effect have been on the calculated formula weight ([9] above) of your unknown as compared to the true formula weight if the solution had been blue green when you filtered your product? too high, too low, or unchanged? explain.

Answers

If the solution is blue-green, this indicates that some copper is still present in the solution and that not all of it has precipitated. Expect it to be too low because you will have less mass.

With very few exceptions, all copper(I) (cuprous) compounds are diamagnetic and colorless. Cu2O, Cu2Cl2, and cuprous sulfide are a few of the significant commercial compounds of copper(I) (Cu2S).

The molar mass of the element copper is determined by looking at its average atomic mass, which is 63.55 AMU on the periodic table. Since it is also our molar mass, we will now put it in a different unit: grams over moles (63.55 gmol). That is copper's molar mass.

If the solution is blue-green, there is still copper in the solution and not all of it has precipitated. Because you will have less bulk, anticipate it to be too low.

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SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C

Answers

Answer:

The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).

What are co-ordinates?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Step-by-step explanation:

Given:

    20 = 1/2x + 5/2

20 * 2 = x + 5

     40 = x + 5

        x = 35

Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)

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What is an equation of the line that passes through the points (-4, -3) and (8, 6)?

Answers

Answer:  [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

        We will create a point-slope equation to solve.

        First, we need to find the slope.

[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}= \frac{6--3}{8--4} =\frac{9}{12} =\frac{3}{4}[/tex]

        Next, we will create our point-slope equation.

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

[tex]\displaystyle y--3=\frac{3}{4} (x--4)[/tex]

 [tex]\displaystyle y+3=\frac{3}{4} (x+4)[/tex]

 [tex]\displaystyle y=\frac{3}{4} x+3 -3[/tex]

 [tex]\displaystyle y=\frac{3}{4} x[/tex]

Write a function that describes the area of the water puddle on the floor as a function of its radius. Use function notation

Answers

The formula that plots the radius against the area of such water puddle here on floor; A = πr².

Describe the term surface area?The area is the area occupied by just a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space occupied by its outer surface. A three-dimensional structure with parallel circular bases is characterized as a TA cylinder. There are no vertices on it. Area of three-dimensional shapes mainly refers to surface area.

For the given question,

Let the area of the water puddle on the floor be 'A'.

Let the radius of the water puddle be 'r'.

Then, using the area of the circle,

The function for the area of the water puddle be,

A = πr²

Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².

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Here are the first 4 terms of a sequence.
3 9 15 21
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.

Answers

a) (i) 27
(ii) every time it adds on six (other than three)
b) 57

if an audit company picks a bank at random for audit what is the probability that a bank (a) is guilty of fraud? (b) is guilty of fraud given it is a private bank? probability problem

Answers

The probability of the randomly selected bank being a) guilty of fraud is 0.1 and b) guilty of fraud, it is given it is a private bank is 0.15

Here

let A be the event of the Bank being a fraud

Let B be the event of the bank being private

Here we see that 100 banks have been sampled.

a)

Probability = no. of favorable outcomes/total no. of outcomes

Here we see that under the row of Bank Fraud and Yes section there are

6 + 4

= 10 banks.

Hence,

n(A) = 10

n = 100

Therefore,

P(A) = 10/100

= 0.1

b)

The conditional Probability

P(X|Y) = P(X ∩ Y) / P(Y)

Here,

we need to find the bank is a fraud given that it is a private bank. Hence we need to find,

P(A|B)

= P(A ∩ B) / P(B)

Here we see that the private banks that are fraud are given to be 6.

Hence,

n(A ∩ B) = 6

Therefore,

P(A ∩ B) = 6/100

n(B) = 6 + 34 = 40

P(B) = 40/100

Hence P(A|B) = (6/100) / (40/100

= 6/40

= 3/20

= 0.15

Complete Question

(Information attached as an image)

if an audit company picks a bank at random for audit what is the probability that a bank

(a) is guilty of fraud?

(b) is guilty of fraud given it is a private bank?

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Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3 1 Attempts Remain

Answers

D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.

Given that,
Among the options which statment best represents the expression D(x) = 2x is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
D(x) = 2x

As from the observation D(x) is a function of the independent variable x.
Also,
At x = 5, 6, -2
D(x) = 10, 12, -4
So it is also a rule for the set of points (5, 10), (6, 12), and (-2, -4).

Thus, the D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.

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Maria deposits $1,400 into the Park Avenue Bank. The account pays 2.5% annual interest compounded semi-annually. What is her ending balance after 3years? Round to the nearest cent (2 digits after the decimal point).The ending balance is can you help me in graph an airplane has a mass of 26900 kg and takes off under the influence of a constant net force of 38700 n. what is the net force that acts on the plane's 106 kg pilot? Raheem is married and has two children with his wife Aleema. They both have full-time jobs outside the home. Raheem considers himself a relativelmodern man and does laundry and helps cook breakfasts on the weekend. He might be surprised to learn that around the world, women typically domow much more around the house than men?A. the sameB. five times as muchC. half as muchD. twice as much What are some ways to access the Excel Help window? Check all that apply.clicking and dragging the zoom slider on the status bardouble-clicking the title barclicking the question mark in the upper-right corner of the interfacepressing the F1 key on the keyboardcorrect answer is c and d story: the hound of the baskervilles, Based off of what you know about the author, make a prediction about how the title gives foreshadowing of the setting or problem Forward rate agreements can be used for speculative purposes. If one believes rates will be less than the agreement rate,A) take a long position in the spot market.B) the purchase of a FRA is the suitable position.C) take a short position in a forward rate agreement.D) the sale of a FRA is the suitable position. a large 1.9 m wide and 0.5 m high plate is carried above a truck perpendicular to the vehicle motion (like a flat plate normal to the free stream). calculate the additional power required to carry the plate at a speed of 72 km/hr. use air density as 1.22 and estimate the drag coefficient from tables in the book. which of the following are non-conservative properties of a deep water mass? 1. temperature 2. dissolved gases (o2, co2) 3. salinity 4. nutrients (nitrate, phosphate, silica) during the initial few minutes of exercise, oxygen uptake cannot meet the energy demand. what is this called? select one: a. oxygen deficit b. epoc c. steady state What value is equivalent to (8+2) + (6 4) 3? Kelly earned 300 dollars and put 70% of it into the bank. How much did she put into the bank? Use remainder theorem for x^3+8x^2+11x-20 by x-5 all of the following are benefits of a three-week second transition period except: group of answer choices rehabilitating injuries that may have occurred preparing for the upcoming competitive period refreshing mentally and physically before a new training block helping to reduce the risk of overtraining Helppp its due tomorrow if a radiograph is done using an 80 inch ffd and 12 mas and a second image is done using a 40 inch ffd, what is the new mas that should be used? How does Garrison characterize slave owners? Question 16 (1 point)Which of the following excerpts from "Letter from Birmingham Jail" contains an example of a rhetorical question?O aIn your statement you assert that our actions, even though peaceful, must be condemned because they precipitate violence. Butis this a logical assertion? Isn't this like condemning a robbed man because his possession of money precipitated the evil act ofrobbery?ObOcOdOne of the basic points in your statement is that the action that I and my associates have taken in Birmingham is untimely. Somehave asked: "Why didn't you give the new city administration time to act?Perhaps it is easy for those who have never felt the stinging darts of segregation to say, "Wait." But... when you have to concoct ananswer for a five year old son who is asking: "Daddy,why do white people treat colored people so mean?"... then you willunderstand why we find it difficult to wait....at first glance it may seem rather paradoxical for us consciously to break laws. One may well ask: "How can you advocate6breaking some laws and obeying others?" Three people each have a tendency to lie 1/3 of the time. There is a coin flip that they all see. They all say it's Heads. What's the probability it is actually Heads Resonant standing waves are excited on a string that is fixed at both ends. The speed of the superposed traveling waves that yield the standing wave increases if.